Chenxu Hao

collaborators

3 papers

math.PR2026

The Exact Limsup Constant for Once-Visited Sites of One-Dimensional Simple Random Walk

Chenxu Feng, Chenxu Hao

For a one-dimensional simple random walk, let $g_{1} (n)$ denote the number of sites visited exactly once at time $n$ . Major (1988) proved that \begin{equation*} \limsup_{n\to\infty}\…

math.PR2025

Favorite sites for simple random walk in two and more dimensions

Chenxu Hao, Xinyi Li, Izumi Okada +1

On the trace of a discrete-time simple random walk on $Z^{d}$ for $d \geq 2$ , we consider the evolution of favorite sites, i.e., sites that achieve the maximal local time at…

math.PR2025

Exact Limsup Growth of Rarely Visited Sites for One-Dimensional Simple Random Walk

Chenxu Feng, Chenxu Hao

We investigate the minimal local time $f (n)$ of a one-dimensional simple random walk up to time $n$ , defined as the smallest number of visits to any site in the range. A conjecture…